Hi Holly, my dd is 2yo and is still a bit sensitive to certain things, or if she has too much in her mouth. She has always been a big gagger. I was very concerned about it while I was introducing foods, as she would gag and then start choking, we were pretty scared there a couple of times. And it wasn't even with much food. She just has a very sensitive reflex. But my sister has this too and she is 34, so it might stay a bit, but not obviously to the point of being debilitating.
I would just be careful when you do introduce more solid foods, all of my dd's friends were eating more advanced foods long before she was, and no one could understand why I wouldn't give her a whole cracker to eat, or a piece of melon, or etc... so don't be pressured, just take it slow. I once said to my dh that I would rather just be patient with the food we give her than force it too early and risk her choking or have it turn into a food aversion. It's not worth it. But at the same time don't be too paranoid about food, just be careful, small, small pieces and slow, and just follow his signals.
Now my dd eats better than any of her friends, she eats tonnes and breastfeeds tonnes, and hardly ever has the gagging.